Theorems · Theorem · order theory

GaloisConnection.dual

∀ {α : Type u} {β : Type v} [inst : Preorder α] [inst_1 : Preorder β] {l : α → β} {u : β → α},
  GaloisConnection l u →
    GaloisConnection (⇑OrderDual.toDual ∘ u ∘ ⇑OrderDual.ofDual) (⇑OrderDual.toDual ∘ l ∘ ⇑OrderDual.ofDual)

Defined in

Mathlib.Order.GaloisConnection.Defs

Cited by

4 results in Mathlib

Foundations

Depth 14 from the axioms · uses Quot.sound

Assumes

PreorderPreorder